Your task is to use the grid space to create triangular and square numbers. Then we will ask you to prove the following conjecture.
"A triangular number plus the next consecutive triangular number is always a square number." For instance, using the figure introduced before, 3 + 6 = 9, a square number. Now use the Interactive Activity below to explore triangular and square numbers.
Now use the grid to construct an informal proof of the conjecture: "A triangular number plus the next consecutive triangular number is always a square number."
